{"title":"基于临界主应力方向的无线性变换各向异性韧性断裂模型","authors":"Peihua Zhu, Weigang Zhao, Zhiyang Xie, Shitong Chen","doi":"10.1016/j.ijmecsci.2024.109914","DOIUrl":null,"url":null,"abstract":"The linear transformation has been successfully used to characterize the anisotropic ductile fracture, whereas the physical background of the transformed anisotropic stress state or the equivalent plastic strain becomes somewhat vague. This deficiency in the linear-transformation model might overlook the microscopic mechanisms of the anisotropic ductile fracture related to various stress states and loading direction. Therefore, this paper proposes an advanced linear-transformation-free anisotropic ductile fracture modeling framework that is dependent on stress triaxiality and the Lode angle, two state variables intimately related to microscopic fracture mechanisms. Notably, the model introduces the critical principal stress direction to account for the dependency on loading direction. The stress state variables and principal stress direction correspond to the geometry and sampling direction straightforwardly, which significantly facilitates the calibration of fracture parameters. Furthermore, compared to traditional linear-transformation-based anisotropic models, the proposed model is underpinned by a clear physical basis and accurately captures the relationships between triaxiality, Lode angle and material ductility with respect to varying loading directions. This model has been calibrated and validated based on the testing program on aluminum alloy 6061-T6 rolled plates under various stress states, considering both in-plane and out-of-plane anisotropies. The accurate prediction in terms of the softening initiation and failure modes for all testing cases demonstrate the validity of the proposed anisotropic ductile fracture model, as evidenced by the low averaged percentage of damage indicator at softening initiation at 4.6 %.","PeriodicalId":56287,"journal":{"name":"International Journal of Mechanical Sciences","volume":"25 1","pages":""},"PeriodicalIF":7.1000,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Linear-transformation-free anisotropic ductile fracture model based on critical principal-stress-direction\",\"authors\":\"Peihua Zhu, Weigang Zhao, Zhiyang Xie, Shitong Chen\",\"doi\":\"10.1016/j.ijmecsci.2024.109914\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The linear transformation has been successfully used to characterize the anisotropic ductile fracture, whereas the physical background of the transformed anisotropic stress state or the equivalent plastic strain becomes somewhat vague. This deficiency in the linear-transformation model might overlook the microscopic mechanisms of the anisotropic ductile fracture related to various stress states and loading direction. Therefore, this paper proposes an advanced linear-transformation-free anisotropic ductile fracture modeling framework that is dependent on stress triaxiality and the Lode angle, two state variables intimately related to microscopic fracture mechanisms. Notably, the model introduces the critical principal stress direction to account for the dependency on loading direction. The stress state variables and principal stress direction correspond to the geometry and sampling direction straightforwardly, which significantly facilitates the calibration of fracture parameters. Furthermore, compared to traditional linear-transformation-based anisotropic models, the proposed model is underpinned by a clear physical basis and accurately captures the relationships between triaxiality, Lode angle and material ductility with respect to varying loading directions. This model has been calibrated and validated based on the testing program on aluminum alloy 6061-T6 rolled plates under various stress states, considering both in-plane and out-of-plane anisotropies. The accurate prediction in terms of the softening initiation and failure modes for all testing cases demonstrate the validity of the proposed anisotropic ductile fracture model, as evidenced by the low averaged percentage of damage indicator at softening initiation at 4.6 %.\",\"PeriodicalId\":56287,\"journal\":{\"name\":\"International Journal of Mechanical Sciences\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":7.1000,\"publicationDate\":\"2024-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mechanical Sciences\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1016/j.ijmecsci.2024.109914\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mechanical Sciences","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1016/j.ijmecsci.2024.109914","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Linear-transformation-free anisotropic ductile fracture model based on critical principal-stress-direction
The linear transformation has been successfully used to characterize the anisotropic ductile fracture, whereas the physical background of the transformed anisotropic stress state or the equivalent plastic strain becomes somewhat vague. This deficiency in the linear-transformation model might overlook the microscopic mechanisms of the anisotropic ductile fracture related to various stress states and loading direction. Therefore, this paper proposes an advanced linear-transformation-free anisotropic ductile fracture modeling framework that is dependent on stress triaxiality and the Lode angle, two state variables intimately related to microscopic fracture mechanisms. Notably, the model introduces the critical principal stress direction to account for the dependency on loading direction. The stress state variables and principal stress direction correspond to the geometry and sampling direction straightforwardly, which significantly facilitates the calibration of fracture parameters. Furthermore, compared to traditional linear-transformation-based anisotropic models, the proposed model is underpinned by a clear physical basis and accurately captures the relationships between triaxiality, Lode angle and material ductility with respect to varying loading directions. This model has been calibrated and validated based on the testing program on aluminum alloy 6061-T6 rolled plates under various stress states, considering both in-plane and out-of-plane anisotropies. The accurate prediction in terms of the softening initiation and failure modes for all testing cases demonstrate the validity of the proposed anisotropic ductile fracture model, as evidenced by the low averaged percentage of damage indicator at softening initiation at 4.6 %.
期刊介绍:
The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering.
The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture).
Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content.
In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.